Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices

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2010
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Johnson, T. H.
Clark, Stephen R.
Jaksch, Dieter
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Physical Review A. 2010, 82(4). ISSN 1050-2947. Verfügbar unter: doi: 10.1103/PhysRevA.82.043617
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We present an analysis of Bose-Fermi mixtures in optical lattices for the case where the lattice potential of the fermions is tilted and the bosons (in the superfluid phase) are described by Bogoliubov phonons. It is shown that the Bogoliubov phonons enable hopping transitions between fermionic Wannier-Stark states; these transitions are accompanied by energy dissipation into the superfluid and result in a net atomic current along the lattice. We derive a general expression for the drift velocity of the fermions and find that the dependence of the atomic current on the lattice tilt exhibits negative differential conductance and phonon resonances. Numerical simulations of the full dynamics of the system based on the time-evolving block decimation algorithm reveal that the phonon resonances should be observable under the conditions of a realistic measuring procedure.

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ISO 690BRUDERER, Martin, T. H. JOHNSON, Stephen R. CLARK, Dieter JAKSCH, Anna POSAZHENNIKOVA, Wolfgang BELZIG, 2010. Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices. In: Physical Review A. 2010, 82(4). ISSN 1050-2947. Verfügbar unter: doi: 10.1103/PhysRevA.82.043617
BibTex
@article{Bruderer2010Phono-12435,
  year={2010},
  doi={10.1103/PhysRevA.82.043617},
  title={Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices},
  number={4},
  volume={82},
  issn={1050-2947},
  journal={Physical Review A},
  author={Bruderer, Martin and Johnson, T. H. and Clark, Stephen R. and Jaksch, Dieter and Posazhennikova, Anna and Belzig, Wolfgang}
}
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